Finding the Third Proportional to 1,062 and 1,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,062 : 1,552.50 = 1,552.50 : x
2. Step 2: Convert to fraction form
   1,062/1,552.50 = 1,552.50/x
3. Step 3: Cross multiply
   1,062x = 1,552.50 × 1,552.50
4. Step 4: Simplify right side
   1,062x = 2,410,256.25
5. Step 5: Solve for x
   x = 2,410,256.25/1,062
6. Step 6: Final answer
   x = 2,269.54